What is the Least Common Multiple of 92789 and 92798?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 92789 and 92798 is 8610633622.
LCM(92789,92798) = 8610633622
Least Common Multiple of 92789 and 92798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92789 and 92798, than apply into the LCM equation.
GCF(92789,92798) = 1
LCM(92789,92798) = ( 92789 × 92798) / 1
LCM(92789,92798) = 8610633622 / 1
LCM(92789,92798) = 8610633622
Least Common Multiple (LCM) of 92789 and 92798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92789 and 92798. First we will calculate the prime factors of 92789 and 92798.
Prime Factorization of 92789
Prime factors of 92789 are 92789. Prime factorization of 92789 in exponential form is:
92789 = 927891
Prime Factorization of 92798
Prime factors of 92798 are 2, 46399. Prime factorization of 92798 in exponential form is:
92798 = 21 × 463991
Now multiplying the highest exponent prime factors to calculate the LCM of 92789 and 92798.
LCM(92789,92798) = 927891 × 21 × 463991
LCM(92789,92798) = 8610633622
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